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Finding the Fourth Proportional to 2,877.13, 4,314.93 and 796.64

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Solution

The fourth proportional to 2,877.13, 4,314.93 and 796.64 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.13 : 4,314.93 = 796.64 : x
  2. Step 2: Convert to fraction form
    2,877.13/4,314.93 = 796.64/x
  3. Step 3: Cross multiply
    2,877.13x = 4,314.93 × 796.64
  4. Step 4: Simplify right side
    2,877.13x = 3,437,445.84
  5. Step 5: Solve for x
    x = 3,437,445.84/2,877.13
  6. Step 6: Final answer
    x = 1,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.